Math practice for 13 year olds - page 5 of 362
Number of problems found: 7234
- Incircle to circumcircle
Find the ratio of the areas of the incircle and the circumcircle of a square.
- A cube 4
A cube of edge 5 cm is cut into cubes, each of edge 1 cm. Find the ratio of the total surface area of one of the small cubes to that of the large cube.
- Two men 2
Two men are on opposite sides of a tower. They measure the angles of elevation of the top of the tower as 30° and 45°, respectively. If the height of the tower is 50 m, find the distance between the two men.
- Two trains 14
Two trains running in the same direction at 40kmph and 22kmph completely pass one another in 1 minute. If the length of the first train is 125m, find the length of the 2nd train.
- Susan 4
Susan went to school for 219 days in a full year. If her attendance is 75%, find the number of days on which the school was open.
- System of equations
Solve the following system of equations: 2x-5y=4 5x-3y=4
- Two games
In a class of 65 students, 30 students play cricket, 20 students play tennis, and 10 students play both games. Then, find the number of students who play neither.
- Adam reaches
If Adam walks at 3 km/h, he will reach school 15 minutes late. If he walks at 4 km/h (kmph), he will reach school 15 minutes earlier than usual. What is the distance between school and house?
- Two trains 13
Two trains start at the same time toward each other from stations A and B at respective speeds of 36 km/h and 42 km/h. When they meet, it was found that one train has covered 48 km more than the other. Find the distance between the two stations.
- Difference of squares
If the difference between two numbers is 3 and the difference of their squares is 39, then find the larger number.
- Literacy ratio
The town's population is 311250. The ratio of women to men is 43: 40. If 24% of men and 8% of women are literate, then find the total number of literate persons in the town.
- RT with rectangle
In the diagram, find the lengths h and b. One rectangle and one right triangle share one side. We know two angles and the length of the common side, as shown in the picture.
- Math review
How much is 20% of 30% of 150?
- Fraction of a work
Person A can do 1/2 of a piece of work in 8 days, while person B can do 1/3 of the same work in 8 days. In how many days can both do it together?
- Customer 7
The customer needs a discount of 30% on the marked price. The dealer gives him two successive discounts of 20% and 12%. The discount was: (1) more than he wants (2) same as he wants (3) less than he wants (4) none of these Write the result in numbers 1 to
- The supplement
The supplement of an angle is four times its complement. Find the angle.
- Minimum interior angle
What is the minimum interior angle possible for a regular polygon?
- Three cubes
Three cubes of iron whose edges are 6 cm, 8 cm, and 10 cm, respectively, are melted and formed into a single cube. Find the edge of the new cube.
- Cement, sand, and gravel
Concrete tiles are made using buckets of cement, sand, and gravel mixed in a ratio of 1:4:6. How many buckets of gravel are needed for 4 buckets of cement?
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